# My Double Integrals!

Calculus Level 3

$\large \displaystyle \int_0^{\frac {1}{2} } \int_0^{1-2y} xy \ \mathrm d x \ \mathrm d y$

If the above integral is in the form of $\frac {a}{b}$ for coprime positive integers, $a,b$. Find the value of $a+b$.

×